48646440090000 has 675 divisors, whose sum is σ = 173199814995207. Its totient is φ = 12741939936000.

The previous prime is 48646440089899. The next prime is 48646440090023. The reversal of 48646440090000 is 9004464684.

The square root of 48646440090000 is 6974700.

It is a perfect power (a square), and thus also a powerful number.

48646440090000 is a `hidden beast` number, since 4 + 86 + 46 + 440 + 0 + 90 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3813880903056 + 44832559186944 = 1952916^2 + 6695712^2 .

It is a super-2 number, since 2×48646440090000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 140191469827 + ... + 140191470173.

Almost surely, 2^{48646440090000} is an apocalyptic number.

48646440090000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

48646440090000 is the 6974700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48646440090000

48646440090000 is an abundant number, since it is smaller than the sum of its proper divisors (124553374905207).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48646440090000 is an frugal number, since it uses more digits than its factorization.

48646440090000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 48646440090000 in words is "forty-eight trillion, six hundred forty-six billion, four hundred forty million, ninety thousand".